Average Error: 0.4 → 0.1
Time: 4.5s
Precision: 64
\[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
↓
\[60 \cdot \left(\frac{x}{z - t} - \frac{y}{z - t}\right) + a \cdot 120\]
\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120
↓
60 \cdot \left(\frac{x}{z - t} - \frac{y}{z - t}\right) + a \cdot 120
double f(double x, double y, double z, double t, double a) {
        double r864567 = 60.0;
        double r864568 = x;
        double r864569 = y;
        double r864570 = r864568 - r864569;
        double r864571 = r864567 * r864570;
        double r864572 = z;
        double r864573 = t;
        double r864574 = r864572 - r864573;
        double r864575 = r864571 / r864574;
        double r864576 = a;
        double r864577 = 120.0;
        double r864578 = r864576 * r864577;
        double r864579 = r864575 + r864578;
        return r864579;
}
↓
double f(double x, double y, double z, double t, double a) {
        double r864580 = 60.0;
        double r864581 = x;
        double r864582 = z;
        double r864583 = t;
        double r864584 = r864582 - r864583;
        double r864585 = r864581 / r864584;
        double r864586 = y;
        double r864587 = r864586 / r864584;
        double r864588 = r864585 - r864587;
        double r864589 = r864580 * r864588;
        double r864590 = a;
        double r864591 = 120.0;
        double r864592 = r864590 * r864591;
        double r864593 = r864589 + r864592;
        return r864593;
}

Error

Bits error versus x

Bits error versus y

Bits error versus z

Bits error versus t

Bits error versus a

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Target

Original0.4
Target0.2
Herbie0.1
\[\frac{60}{\frac{z - t}{x - y}} + a \cdot 120\]

Derivation

  1. Initial program 0.4

    \[\frac{60 \cdot \left(x - y\right)}{z - t} + a \cdot 120\]
  2. Using strategy rm

  3. Applied *-un-lft-identity0.4

    \[\leadsto \frac{60 \cdot \left(x - y\right)}{\color{blue}{1 \cdot \left(z - t\right)}} + a \cdot 120\]

  4. Applied times-frac0.1

    \[\leadsto \color{blue}{\frac{60}{1} \cdot \frac{x - y}{z - t}} + a \cdot 120\]

  5. Simplified0.1

    \[\leadsto \color{blue}{60} \cdot \frac{x - y}{z - t} + a \cdot 120\]
  6. Using strategy rm

  7. Applied div-sub0.1

    \[\leadsto 60 \cdot \color{blue}{\left(\frac{x}{z - t} - \frac{y}{z - t}\right)} + a \cdot 120\]

  8. Final simplification0.1

    \[\leadsto 60 \cdot \left(\frac{x}{z - t} - \frac{y}{z - t}\right) + a \cdot 120\]

Reproduce

herbie shell --seed 2020064 
(FPCore (x y z t a)
  :name "Data.Colour.RGB:hslsv from colour-2.3.3, B"
  :precision binary64

  :herbie-target
  (+ (/ 60 (/ (- z t) (- x y))) (* a 120))

  (+ (/ (* 60 (- x y)) (- z t)) (* a 120)))